Properties

Base field 4.4.19821.1
Label 4.4.19821.1-48.1-c
Conductor 48.1
Rank not recorded

Related objects

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Base field 4.4.19821.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} + 6 x + 3 \); class number \(1\).

Elliptic curves in class 48.1-c over 4.4.19821.1

Isogeny class 48.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
48.1-c1 \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 3 a - 1\) , \( -\frac{1}{3} a^{3} - \frac{1}{3} a^{2} + 4 a + 2\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 2 a - 2\) , \( -3 a^{3} - a^{2} + 22 a + 6\) , \( -2 a^{3} + 18 a + 5\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph